Title: Asymptotic stability analysis for a class of systems in chemical process

Authors: Xinghua Liu; Hongsheng Xi

Addresses: Department of Automation, School of Information Science and Technology, University of Science and Technology of China, 230027, Hefei, Anhui, China ' Department of Automation, School of Information Science and Technology, University of Science and Technology of China, 230027, Hefei, Anhui, China

Abstract: Based on the two-stage dissolution tank in the chemical process, the certain and uncertain neutral systems with time-delay and saturating actuators are investigated in the paper. By the model transformation and the delay-dividing approach, new delay-dependent LMI conditions for asymptotic stability are obtained by Lyapunov method. Finally, from the two-stage dissolution tank of solid caustic soda in a chemical plant, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature. It has important guidance functions to the chemical plant production control.

Keywords: neutral systems; discrete time-delay; actuator saturation; asymptotic stability analysis; neutral time-delay; chemical processes; dissolution tank; caustic soda; production control.

DOI: 10.1504/IJESMS.2015.070107

International Journal of Engineering Systems Modelling and Simulation, 2015 Vol.7 No.3, pp.166 - 176

Received: 08 Jun 2013
Accepted: 28 Sep 2013

Published online: 21 Mar 2015 *

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